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10122020011220 = 22513193245982031
BaseRepresentation
bin1001001101001011011101…
…1010000011110011010100
31022211122200222102001210012
42103102313122003303110
52311314344110324340
633305554121215352
72063202043335245
oct223226732036324
938748628361705
1010122020011220
1132527a74634a7
121175870031558
1358566b9a54b0
1426dca085cccc
1512846c410565
hex934b7683cd4

10122020011220 has 96 divisors (see below), whose sum is σ = 23019583587840. Its totient is φ = 3716439367680.

The previous prime is 10122020011039. The next prime is 10122020011249. The reversal of 10122020011220 is 2211002022101.

10122020011220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10122020011195 and 10122020011204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123351605 + ... + 123433635.

It is an arithmetic number, because the mean of its divisors is an integer number (239787329040).

Almost surely, 210122020011220 is an apocalyptic number.

10122020011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122020011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509791793920).

10122020011220 is an abundant number, since it is smaller than the sum of its proper divisors (12897563576620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10122020011220 is a wasteful number, since it uses less digits than its factorization.

10122020011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84705 (or 84703 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122020011220 its reverse (2211002022101), we get a palindrome (12333022033321).

The spelling of 10122020011220 in words is "ten trillion, one hundred twenty-two billion, twenty million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 193 260 386 772 965 1930 2459 2509 3860 4918 5018 9836 10036 12295 12545 24590 25090 31967 49180 50180 63934 82031 127868 159835 164062 319670 328124 410155 474587 639340 820310 949174 1066403 1640620 1898348 2132806 2372935 4265612 4745870 5332015 6169631 9491740 10664030 12339262 15831983 21328060 24678524 30848155 31663966 61696310 63327932 79159915 123392620 158319830 201714229 205815779 316639660 403428458 411631558 806856916 823263116 1008571145 1029078895 2017142290 2058157790 2622284977 4034284580 4116315580 5244569954 10489139908 13111424885 26222849770 38930846197 52445699540 77861692394 155723384788 194654230985 389308461970 506101000561 778616923940 1012202001122 2024404002244 2530505002805 5061010005610 10122020011220